WeS )Il1 POLICY RESEARCH WORKING PAPER 198 8 The Informal Sector, Firm The high informality and . mortality and apparent Dynamics, and Institutional stagnation of developing Participation country microfirms are often thought to result from government-induced Alec R. Levenson distortions in labor or product William F. Maloniey markets. A new approach assumes that these informal firms have dynamics similar to firms in industrial countries, and that formality can be thought of as the aecision to participate in societal institutions. This leads to a substantially aifferent vision of the relationship bezween formality and the rature of the small firm that emphasizes the informal firm first as a normal enterprise and second as informal The World Bank Latin America and the Caribbean Poverty Reduction and Economic Management Sector Unit U September 1998 Rfst-Rc_ WOMX 1,8 u2u -in2ry f-indings the iftAnemali microfirm seector is believed to be large, that ensure property rights, pool risk, or enforce accounting for 20-40 percent of employment in many contracts become more important as a firm grows, and dcveloping countries. The literature tends to view the the entrepreneur will be willing to pay for them through sector as the disad-vantaged sector of a seg-nented labor "taxes" in a way that was not the case as a small firm. market, as existing to evade government regulations, or The combination of these assurnptions generates as constrained by lack of access to government services. several of the stylized facts emerging from cross-sectional Levenson and M.aloney offer a unique theoretical data and identified in existing mrdels -informal firms framework to analyze iinformality and microfirm growth tend to) remnailn small and have high rates of mortality5 behavior - one that emphasizes the entrepreneurial and lower productivity -- without recourse to nature of infor-rmal firms and sees informality as a government-induced distortions ia labor or product secondary characteristic. markets. Further, the framework predicts that firms First, they assume that inforinal firms in developing whose cost structures dictate that they should expand countries bave dvnarniics similar to firms in industrial will make the transition to formality as they grow. countries: entrepreneurs have uinobserved, differing cost Using detailed observations fromn Mexico, Levenson structures that determine the&r long-run size and survival and Maloney find their view consistent with patterns of - strocru:i-es rhat tihev can only discover by going into formality and growth of .nicrofirrns. busiress. Secornd, informality can be thought of as a decision to participate in societal instituLticns. Access to mechanisms This paper-a product of the Poverty Reduction and Economic Management Sector Unit, Latin Arn erica and the Caribbean Region--- is part of a larger eZfort in the region to understand the structure of labor markets in developing countries. Copies of the paper are available free from the World Bank. 1818 H Street NWV, Washington, DC 20433. Please contact Tania Gorriez, room 18-102, telephone 202-473-2127, fax 202-522-2119, Internet address tgomezCwvorldbank.org. William Mlalonev rnav be contacted at w^.rmaloneyCworldbank.org. September 1998. (31 pages) 'The Policy Research Tmorki'Zg Paper Series disseninates the findings of work n? progress to encourage the exchange of ideas about ieve/op;fcnio issues. An obiecirve of the series to get the findings out quickly. ev- r, tke presentations are less tkan fully polished. The p Ipess car,y the names Of the authors and should be cited accordingly. Time findiigs, interpretatlons, aeid conclusions expressed in this paper are e.;rir ely those of the authors. iT>eyd o not necessarily represent tre Liew of the W,1'orld Bank, 1ts Exectiive Directors, or the colt,nties lCe rep-scent. Produced bv the Policy Research Dissemnination Center The Informal Sector, Firm Dynamics and Institutional Participation Alec R. Levenson Milken Institute for Job & Capital Formation 1250 Fourth Street, Second Floor Santa Monica, CA 90401 Telephone: (310) 998-2646 Fax: (310) 998-2626 E-mail: levenson@,mijcf.org William F. Maloney World Bank Telephone: (202)473-7300 E-mail: wmaloneygworldbank.org We would like to thank Agustin Ibarra Almada, Julie Anderson Schaffner, Ragui Assaad, Timothy Besley, Enrique Davila Capalleja, Gina Franco, Gabriel Fuentes, James Hines, Sanjay Jain, Christina Paxson, Elaine Reardon, Stefanie Schmidt, Simon Wilkie, Kristen Willard, Bernard Yeung, Cindy Zoghi and seminar participants at Princeton, USC, UC-Riverside, the Milken Institute, the 1996 Northeast Universities Development Consortium Conference, the 1996 Latin American and Caribbean Economic Association meetings, and the 1996 Western Economic Association Meetings for helpful comments. Gina Franco, Kristin McCullough and Cindy Zoghi provided top notch research support. Our thanks go to the Instituto Nacional de Estadistica, Geografia e Informatica (National Institute of Statistics, Geography and Information) and the Secretaria del Trabajo y Prevision Social (Secretariat of Labor and Social Welfare) for supplying the data. The usual disclaimers apply, with the exception that each of us blames the other for any obvious mistakes, taking full credit for the obscure ones. I. Introduction ,Crude estimates suggest that the informal production sector is large, accounting for 20 to 50 percent of employment in many developing countries (Portes, 1994). Yet progress towards consensus on the sector's origins, operations and even definition has been hampered by two problems.' First, the lack of comprehensive data has prevented accurately establishing the basic characteristics of informal production beyond conjecture and casual observation. Second, whereas, the literature on informal finance -- i.e. unregulated financial intermediation -- has a broad theoretical underpinning,2 the literature on informal production tends toward ad hoc characterizations and lacks a comparably broad foundation.3 In general, these frameworks rely on an institutional distortion such as a binding minimum wage, evasion of government regulation and taxation, or differences between firms in worker monitoring ability to generate the informal sector.4 This paper makes two contributions. First, it offers systematically collected data on a broad cross-section of urban firms in Mexico with details on compliance with or participation in a number of different societal institutions. The data are derived from a nationally representative sample of all such firms, a significant improvement over pre-existing case study data sets. We are thus able to move beyond anecdotal analysis and establish some definitive stylized facts about irnformal production for the first time. Second, it offers a theoretical framework to motivate the analysis of the data. The 'A large body of literature equates informality with the low-wage, low-productivity segment of a dual labor market (for example, Lewis, 1954, and Harris and Todaro, 1970). An equally sizeable literature equates informality with unregulated self-employment (for example, Hart, 1972, and de Soto, 1989). See Thomas (1992) and Portes (1994) for excellent overviews. Our approach in this paper equates informality and noncompliance with societal norms such as tax obligations, labor protections, census enumerations, business guild participation, etc. In line with both Thomas' and Portes' characterizations, we are concemed with unregulated/umnonitored activities that are ostensibly legal, not those that are truly illegal (criminal). ^ See Besley (1995) for an excellent overview. See Thomas (1992) and Portes (1994). Exceptions include Esfahani and Salehi-Isfahani (1989), Rauch (1991), Loayza (1995), and Banerji and Jain (1996). 4 For the remainder of the paper we will use "informal" exclusively to characterize the production and distribution of goods processes. approach is unique because it assumes that informal firms behave no differently from small firms in industrialized counties and that no institutional or governmental distortions are required to generate their behavior. To this end the analysis builds on recent mainstream empirical and theoretical research on firm dynamics and extends it to incorporate a general concept of formality. The traditional view of tax and regulatory compliance is that government enforcement is the sole determinant.5 In contrast, we argue that voluntary compliance may arise because the firm derives either direct or complementary benefits from participating in a particular societal institution. Several appealing results emerge. First, the framework is able to generate many of the cross-sectional patterns of firm and worker behavior addressed by existing models and those found in our data. Second, previous approaches have been static: firms are either formal or informal and none transition in equilibrium. However, empirical evidence suggests that developing country (LDC) firms share some of the evolutionary dynamics of their industrialized country counterparts. We show that these dynamics may be important when analyzing informality because they can generate firm characteristics commonly associated with the formality-informality comparison. Moreover, such dynamics imply equilibrium transitions from informality to formality. The nature of the data employed does not permit following individual firms over time and hence precludes rigorous testing of the dynamic predictions. However, we add a new dimension to the theoretical literature and the predicted cross sectional patterns are supported empirically. Finally, the framework can nest many of the existing conceptions of informality, including models that generate the sector through governmental or institutional distortions. I. Formality as participation in civic institutions Different contributions in the literature view compliance with or participation in the institutions of society in seemingly inconsistent ways. Some emphasize firms' desires to evade taxes, regulations or other state controls (for example, Loayza, 1995). Others see the inability to ' For example see Ashenfelter and Smith (1979), Fenn and Veljanovski (1988), Cowell (1990). 2 access institutions, such as those securing property rights, as hampering firm growth (for example, de Soto, 1989). Further there tends to be an assumption that formality is an all or nothing state. We argue that these views are valid only as special cases of a more general and continuous relation between the firm and society. WVe recast the question of formality as the firm's decision of how much to participate in the numerous institutions of civil society: federal and local treasuries, governmental programs such as social security (including pensions and health care), the legal system, the banking system, health inspection, firm censuses, trade organizations, civic organizations, etc. We argue that a minimal degree of participation in some institutions is a necessary input to growth for many firms, and that participation increases with the success of the business. That is, formality can be viewed as a normal input to production: q = f(L,K,P), where L, is labor, K is capital, and P is participation in (a number of different) societal institutions, and all three inputs are complementary. The benefits of formality, while often overlooked, are numerous. They include, but are not limited to:6 1. Enforceable/impersonal contracts and credible signaling. All entrepreneurs have access tD social relationships to enforce implicit contracts among their friends and family, who form a small number of their potential customers and employees. Participation in the legal system is needlessly expensive for transactions with these individuals. Similarly, old age and health insurance may be easily handled by insuring through their mutual extended network of friends and family. Property rights secured by personal ties may be sufficient if investment is minimal. These characteristics of small scale economic transactions are commonly observed in developing countries, as well as in many ethnic enclaves in developed countries. But this mode of operation is constrained by the ability of the entrepreneur to maintain personal relations with all involved parties, a task increasingly unmanageable as firms expand. Legally recognized, enforceable contracts lend credibility to arrangements, permit entry into long term commitments, diminish risk, and can reduce monitoring costs. For example, in a world of imperfect 6 See also de Soto (1989). 3 information, certification that the firmn complies with government health and safety codes may be necessary for firms to attract the largest customer base possible.7 Larger investments require that property rights be secured through the legal system. 2. Access to capital. Informal capital markets (Besley, 1995) may be sufficient to fulfill the firm's external financing needs at low levels of production. However, the small scale and undiversified nature of informal capital markets makes them unsuitable for satisfying the firm's financing needs at larger scales of operation. Growing firms will turn to formal financial intermediaries such as banks. 3. Access to public risk-pooling mechanisms. In order to attract good quality workers the firm may have to offer fringe benefits such as workers compensation, health/unemployment/ disability insurance, and pensions. However, uncertainty over the expected costs of these benefits is high for risk pools with limited numbers of participants, i.e. small firms. Indeed, there is evidence that United States firms backed the introduction of a workers' compensation system to decrease the risk of self-insuring against individual claims (Fishback and Kantor, 1996). Hence, even in the absence of mandatory enrollment laws, a firm may want to enroll in govermment programs that pool risks over a larger population than its own employees. In exchange for this participation, society imposes "taxes" such as reporting requirements,8 fiscal obligations, or social insurance payments. We can conceive of these as comprising an initial fixed cost po that may include information or initial registration costs such as those documented by de Soto (1989), and per period costs, pt, such as taxation that we assume 7 While we frame the empirical discussion in terms of formal versus informalfirms, the concept of informality also applies to subsets of transactions that an ostensibly formal firm may undertake. For example, Palay (1984, 1985) shows that certain transactions between rail-freight shippers and their clients in the United States can be characterized as informal because they occur outside the bounds defined by regulation, and hence are legally unenforceable. In keeping with our motivation here, we would expect such informal transactions to take place primarily between two parties that have a long-standing relationship, even if both parties are large firms and not individual people. A different perspective is offered by Portes (1994) who notes that a portion of economic activity at officially-sanctioned firms often goes unreported; that portion of transactions should be considered informal. 8 This is particularly relevant for bank financing. The firm may have to become registered when it seeks such financing: the govemment may require the bank to report the identity of all its loan recipients for tax or other purposes. 4 for simplicity are the same for all firms.9 We initially assume that the market for formality is voluntary (society levies no costs on firms that choose not to participate in an institution) and that non-payers are perfectly excluded (no free riders). While extreme, these assumptions are consislent with voluntary health or social security programs, and business associations. For example, Chile's self-employed are offered the choice of whether to participate in the state social security program (The Economist, 1996). Just as importantly, our approach highlights an important effect that is not considered by the standard approach in the literatures on tax evasion and regulatory compliance (for example, CowelL, 1990, Fenn and Veljanovski, 1988). These assume that enforcement is the only determinant of compliance because no private benefit is derived from participation: the institution is treated as a strict public good. However, there may be private benefits that make compliance in many public institutions voluntary. In the mandatory workers' compensation system example cited above, the'private benefit of participation outweighed the private cost for many, if not all, firms. De Soto claimed that Peruvian sidewalk vendors sought, not to avoid but, to pay taxes as a way to establish property rights over their precarious business locations. In reality, though the direct private benefit from paying taxes may be zero (again, assuming no enforcement penalties), there may be ancillary benefits that make compliance worthwhile.'0 This very stylized concept of participation can now be embedded in a model of firm dynamics that has become popular in the industrial organization literature." A number of the existing models of the informal sector (e.g Rauch, 1991) are motivated by Lucas' (1978) model 9pt could increase with finn size, i.e. p, = r(q).q. So long as d T/dq < 0, the basic conclusions about participation and firm size and age would not change. O Even in cases where the private benefit of participation does not exceed the private cost, the net private cost may differ substantially, leading to different probabilities of compliance conditional on a given level of enforcernent resources. For example, it may be quite difficult for a frm to undo the effects of a binding minimum wage if ithe compensation package does not include fringe benefits that can be reduced when the wage is raised. In contrast,, it may be easier for the firm to comply with mandated health, pension or other benefits programs by adjusting the wage without significantly altering labor input (for example, Gruber, 1994). Our general point is that the probability of compliance is a positive function of the relative private benefit of participation (net of private costs). " See also Lippman and Rumelt (1982) and Ericson and Pakes (1995). 5 of the size distribution of firms. Lucas argued that there is a distribution of entrepreneurial ability in the population: Those with a sufficiently high level of proficiency become entrepreneurs, while the rest become wage workers. Among the entrepreneurs, those who are more proficient have firms that are larger and/or more successful. However, the model is static: firms do not grow or fail, nor are they born; no one transitions between wage work and self-employment in equilibrium. Jovanovic (1982) addressed these limitations by further assuming that entrepreneurs have uncertainty over their firms' true costs of production: Their precise entrepreneurial ability initially is unknown and can only be learned gradually over time by actually operating a business. Potential entrepreneurs' idiosyncratic entrepreneurial ability, 0, affects their costs, c(qt)xt, through a multiplier xt(0+e£), where c(q) is convex,"2 q is output, and et are random firm specific shocks that prevent certain knowledge of 0. Entrepreneurs make their best guess of x,' (the expectation of x, conditional on information received prior to time t), pay a one time fixed cost of entry, and thereafter choose a level of output qt to maximize expected profits: maxq[Ptq1 - c(q)x, ] (1) where P, is the (price-taking) firms' output price. Each period firms get new information on their cost structure from the level of profits. Firms that realize profits above their expected level revise downward their estimate, xte, because a -e = c(q)(x - xe) (2) This yields two important predictions. First, Jovanovic showed from equation (1) that -= - < 0 (3) sxe X1eC I t; t C1 12 That is, c'(q)>O, c"(q)>O, c(O)=O, c'(O)=O. 6 which, given the properties of the cost function, implies that a lower cost multiplier raises the level of'output. Thus, longstanding firms differ in size because some firms discover that they are more ef'ficient than others. Since participation is a normal input in the production process, the distribution of formality among established firms reflects the underlying distribution of 0. Second, this learning process broadly defines firms' trajectories of growth and formality over time. Unexpectedly good information on profits leads to a downward revision in xe,+, and a rise in qt+, above qt; i.e. the firm grows. It also permits more precise estimates of 0, making viable firms more confident that they will survive. Both elements influence the choice of the degree of participation: A firm will choose to become formal if the discounted benefit net of pt across Ihe expected lifetime of the firm exceeds the fixed costs, po. Figure 1 presents three highly stylized alternate firm trajectories."3 A new small firm that realizes profits that suggest a high xet+i will stop growing at a relatively small size. These "Type 2" firms -- the small survivors -- include businesses such as corner grocery stores, push cart vendors, and door-to-door sales operations with relatively high 0. Given the relatively low benefits of formality for small firms, the expected discounted present value of participation may not exceed po until the firm is very confident about its long run viability, if ever. In contrast, a firm realizing large unexpected profits will sharply revise downward its xet+i and set q + much higher than q, These "Type 1" businesses in Figure 1 -- the large survivors -- also start small but rapidly expand to a large long-run size. Examples of this type of firm are mediurn- to large-scale manufacturing plants and wholesale trade warehouses. Finally, Type 3 firms are the false starters that quickly learn that they are unprofitable, and fail.'4 The population of young firms contains a disproportionate number of such firms that have not yet received enough signals on 0 to figure out that they are not viable. The combination of their small size and uncertainty about being able to recoup po over their expected lifetime makes them unlikely to choose to become formal. 13 Those shown in Figure I are for illustrative purposes and do not exhaust the range of possible firm types. '4 Jovanovic showed that there exists a maximum level of the cost multiplier, or "failure bound," x*+,: firms that realize x'+, > x',+, shut down.. 7 Figure 2 presents these relations in a very stylized fashion. It shows alternate expansion paths -- with and without participation in a societal institution -- for the types of firrn from Figure 1. The expansion paths with participation are net of the variable costs of participating, Pt, and have been drawn so that the percentage increase in revenue is approximately the same for firm types 1 and 2. Comparable proportionate increases in net revenue for small and large firms is a reasonable assumption given that participation is a complement to the other inputs to production. However, as explained below, it is not crucial for the key conclusions to be drawn from the analysis. One feature of the Jovanovic model is that there is a common failure bound for all firms in an industry, a size below which no firm can profitably operate. Large firms are farther from the failure bound, so they have a higher survival probability. This translates into a longer expected lifetime at any given age. Suppose D is the length of expected firm life -- measured from the current period forward, not from the date of firm formation -- at which the discounted present value of the net benefits of formality (net of Pt) exactly equals po. Those firms with expected lifetimes greater than D -- the larger firms -- would choose to participate at an early age, e.g. TI; the smaller firms with shorter expected lifetimes would defer until a later age, e.g. T2. Realistically, as shown in Figure 2, the benefits of participation are likely to be greater for larger firms. This simply accentuates the positive relationship between size and participation: larger firms realize greater per period benefits from formality and they expect to reap those benefits over a longer period. Similarly, there is a positive relationship between firm age and participation. Older firms have greater expected lifetimes because the increasingly precise estimate of their costs makes it less and less likely that they will fail as time goes on. Consequently, older firms are also larger on average. However, the positive relationship between age and participation is not an artifact of larger size alone. Conditional on size, older firms have longer expected lifetimes"5 and thus greater potential for realizing the benefits of participation. So both firm size and age are i5 Their more precise cost estimates mean they are less likely to realize unexpectedly bad profits that would cause them to reach the failure bound. 8 positively correlated with participation: among the youngest firms, only the largest choose to become formal; over time they are joined by smaller firms. To summarize the predictions of our framework: 1. There is heterogeneity in the degree offormality. The benefits and costs of participation undoubtedly vary across societal institutions, and vary for firms of different size and expected lifetime. While there are potential complementarities between different societal institutions, a large number of firms will choose to participate in only a subset of institutions at any point in time. For exarnple, the legal system and bank financing are complements, but a firm may have to register legally before seeking external financing. Thus informality is not an all-or- nothing state and the degree varies by firm. This is not addressed by the other theoretical approaches -- including models of regulatory and tax compliance that typically consider only one dimension of participation -- but it accords with Tokman's observations (1992). 2a. Smallfirms are disproportionately informal. They benefit least from participation because of the small scope of their dealings with the public and hired employees (relative to the, total volume of transactions undertaken by the firm). This has the corollary that: 2b. "Inefficient" firms are disproportionately informal. This implication is in line with many characterizations of the informal sector (Thomas, 1992; Portes, 1994). However, in contrast to other formulations, in this case the causality is not necessarily from informality to inefficiency. High 0 -- i.e. high cost -- firms choose less fornality because it benefits them less than more efficient firms that produce at higher volumes for longer lengths of time. 2c. Young firms are disproportionately informal. This is partly because young firns are more likely to be small. Conditional on size, the population of young firms contains a dispro]portionate number that have not received enough signals to figure out whether paying the costs of formality are worthwhile; many eventually will go out of business. 3. Mode of operation (type of work site) andformality are jointly determined Small firms range iLn mode of operation from ambulatory hawkers to more settled establishments. One dimension of mode of operation, work site permanence, is not addressed by the other theoretical models. However, a number of ad hoc characterizations -- most notably de Soto's (1989) -- draw a strong link with informality: informal firms operate out of temporary/makeshift buildings or 9 stalls, or even door-to-door. Firm expansion involving greater capital outlays, K, requires greater permanent work sites and, simultaneously, greater formality to establish property rights or formalize contracts."6 As a second example, firms of different sizes (at different stages of growth) may have different degrees of interaction with the public. Because implicit contracts over product quality are cheaper and feasible to enforce with friends and family, the entrepreneur may find it most cost effective to primarily serve such customers when faced with small sales volumes. At larger volumes (later in the firm's life cycle), friends and family cannot necessarily buy all the firm's output, so sales to the general public and other firms should increase. 4a. Underlying patterns offirm dynamics should be comparable in both developing and industrialized countries. If the distribution of entrepreneurial ability and the learning process are similar across countries, then so should be the patterns of firm entry and exit. This also implies similar firm age distributions and overall firm dynamics (assuming comparable economic environments). 4b. Informal sector firms have relatively high mortality rates. The high turnover rate of informal firms that might appear as evidence of the inferiority of informal employment reflects the high mortality among small firms observed everywhere. The high turnover rate of such firms and jobs is not necessarily related to being informal per se. Although many informal firms will be small mature firms with high costs (but not so high that they eventually go out of business), many will be the "false starters" with imprecise estimates of their profitability that eventually fail. 5. Firms participate in an increasing number of societal institutions as they grow. As firms with a low 0 grow to their equilibrium size, the depth of participation -- measured by the fraction of all institutions in which the firm participates or by the degree of participation with each individual institution -- increases as well. 16 assumption that the government can perfectly exclude firms that do not voluntarily pay the full costs of participation undoubtedly is too restrictive. Hence larger businesses that have more permanent work sites are easier for the govemment to detect. So participation -- as measured by tax compliance and public registry -- will be greater for such firms. 10 The implications for standard models of tax evasion and regulatory compliance are straightforward. Traditional approaches assume that enforcement agencies try to maximize social benefit (minimize social harm) subject to a binding budget constraint. Both these approaches and ours predict that large firms (the biggest violators on a per unit output basis) are more likely to participate. The difference between approaches lies in the determinants of compliance: traditional approaches assume that enforcement solely determines compliance; we model the (relative) net benefit to the firm. The actual importance of gross benefits versus gross (penalty) costs is an empirical matter, one that, unfortunately, we cannot test with our data. However, our approach shows that both costs and benefits to the firm should be accounted for when attempting to identif the importance of enforcement efforts. Moreover, our approach indicates that the duration of an economic activity should be considered when modeling participation. Traditional approaches to tax evasion and regulatory compliance typically ignore this issue, in part because they consider long-lived economic agents; in particular, firms are viewed as infinitely long-lived. However, we have shown that if firm dynamics play an important role in the economy -- as they appear to do -- then they should be factored into participation considerations. III. Erapirical results 1992 National Micro Enterprises Survey (ENAMIN) from Mexico, offers the first comprehensive survey to date on compliance with or participation in several distinct markers of formality including registration with the tax authorities, tax payment, labor protection, participation in guilds or trade associations, and enumeration in the census, as well as other relevanit characteristics. It thus, permits us to generate a reliable picture of the nature of informality, as well as to test the consistency of our framework with reality. The sample was generated by selecting approximately 11,000 individuals from the 1991:4 National Urban Employment Survey who declared that they were self-employed or heads of firms of five workers or fewer (fifteen or fewer in manufacturing). They were reinterviewed in the next quarter to generate a more detailed accounting of income, capital stock, costs, employment patterns, and a variety of details related to participation in societal institutions. Of the sample of individuals 11 reinterviewed in early 1992, a total of 9,036 were still operating businesses. Our empirical approach is to seek patterns of participation that accord with the predictions detailed in the previous section. However it should be emphasized (again) that there is a fundamental identification problem faced both by our methodological approach and by other approaches that assume enforcement efforts are the sole determinants of participation. We are aware of no data set with the requisite information on both costs and benefits of participation to evaluate the relative importance of each approach."7 Our limited goal in this section is to document empirically the heterogeneity and depth of participation; show the importance of firm size, age, and mode of production as correlates of participation; and (partially) establish a role for firm dynamics and life cycle considerations as key concerns for modeling participation (in both developing and industrialized countries). 1. Heterogeneity of Participation Though the data set is bounded above at five workers (fifteen in manufacturing), even within this narrow firm size range informality is clearly not an all or nothing proposition. The summary statistics in Table 1 show that there are high participation rates in societal institutions for even these small firms: 41.7 percent are registered with the federal treasury, 25.2 percent are registered with the local treasury (including Mexico City), 34.6 percent pay some taxes to one or both treasuries, 34.6 percent of firms with paid workers have them registered with IMSS (Mexico's social security administration), 22.5 percent are members of a business guild or association, 15.6 percent pay dues to a business organization, and 33.1 percent of firms that existed in 1989 were enumerated in the Census of that year. Table 2 presents cross tabulations along several dimensions of participation and shows that participation along one dimension need not imply participation along others. For example, '' Such a data set would have to identify exogenous variation in government policy that is independent of firms' decisions over formality. This identification is extremely difficult in practice because most policies are implemented nationwide, confounding the effect of policy changes with business cycle and macroeconomic forces that also influence fmn behavior. A differences-in-differences approach that utilized between state (or province or region) variation in policies would work in principle. But the existence of multi-establishment firns that cross state lines would make assignment into the proper treatment groups problematic. 12 the bottom left panel contains all the firms that have paid workers and are greater than three years old, which means that they should be registered with the federal treasury, should have their (paid) workers registered with IMSS, and should have been enumerated in the Census. However, of this group only 72.9 percent are registered with the federal treasury, 63.8 percent pay taxes, 31.8 percent participated in the Census but not IMSS, while 7.2 percent participate in IMSS but not the Census. Clearly, participation is a question of degree and spans many dimensions. This suggests that previous research that lumped together all small firms as representing the informal sector (e.g. Rauch, 1991) obscured important differences among them. In the interest of avoiding some of the conceptual confusion that surrounds the topic, it may therefore be preferable that future analysis employ the term "informal" to exclusively refer to the issues of participation discussed here. '[his would leave considerations of firm size, wages/productivity, labor market segmentation, etc. to be addressed under labels that correspond more precisely to the phenomena being studied. s More generally, our evidence indicates that models of regulatory and tax compliance may need to consider possible complementarities between different institutions when modeling participation and enforcement for individual institutions. 2. Distribution of Formality Across Firm Characteristics Points 2a-2c above argue that participation decreases with 0 and increases with the probalbility of long run success. Although we cannot observe either, the framework shows that they are monotonically related, respectively, to firm revenue/size and to firm age (conditional on size). This leads to the following empirical specification: Pr(Participation) = PoConstant + PIRevenue + f2Age + e (4) where revenue is total firm revenue, age is the number of years the firm has been in business (or 18 This is consistent with many characterizations of the informal sector (Thomas, 1992; Portes, 1994). Strictly speaking, in our framework firms choose between different institutional arrangements (Lin and Nugent, 1995). Informality encompasses a set of institutional arrangements including enforcement of contracts through social networks and self-insurance against employee health problems. Formality encompasses a different, complementary set of institutional arrangements including compliance with government reporting requirements. See also Peattie (1987) who critiques usage of the term "informal sector." 13 the number of years the current proprietor has been operating it), and £ is an idiosyncratic error term. We measure the probability of participation a number of different ways: (a) as an indicator variable for any participation in an individual institution, (b) as the degree of participation within a particular institution, and (c) as the degree of participation among a range of potential institutions. In each case the null hypothesis is that: (a) 3,>0, (b) 32>0, that is participation should be an increasing function of both firm size and firm age. Table 3 shows the rate of registration with the federal treasury, the rate of registration of firms' paid workers with the social security administration (IMSS), and the rate of enumeration in the 1989 Census by firm size and by firm age. As predicted, there is a very strong positive relationship between participation and firm size/revenue. The relationship between participation and firm age is also positive, though much weaker. Table 4 reports the results from fitting probit regressions for the seven different types of institutions. In each case the coefficients on both firm size and age are positive and significant at better than the 1 percent level of confidence. (The standard errors were corrected for arbitrary forms of heteroskedasticity.) The estimated changes in the probability of participation for a unit change in each regressor are reported in Table 4.A. The relationship between size and participation is very strong: each point increase in log revenue corresponds to, for example, a 20 percent greater rate of tax compliance, a 23 percent greater rate of social security compliance, and an 1 1 percent greater rate of business guild registration. '" The relationship between age and participation is more marginally significant: a ten year difference in age increases participation in the various institutions by 2 to 4 percent.20 One potential concern is that the benefits of participation undoubtedly vary by industry. Given systematic differences in average firm size and age across industry, the positive relationships between size and participation and between age and participation in Table 4 may be spurious. To test this we tried alternate specifications (not reported), both including industry 9 Log revenue was used to avoid giving undue weight to the small number of firms with extremely high levels of revenue. 20 As a specification check, we tried substituting the two sets of dummy variables for the revenue and age classes (from Table 2) for the linear terms. The results were qualitatively the same both in these and the subsequent regressions. 14 dummies and running separate regressions by industry. The results including industry dummies were virtually identical to those in Table 4. The industry-specific regressions, despite the markedly reduced degrees of freedom, also yielded comparable results. 3. Mode of operation. Table 5 reports the results from fitting equation (4) to two other measures of formality that capture the nature of the production process jointly determined with the level of formality: the permanence of the firm's work site and whether individuals and families are the firm's only main customers. Permanent work site is a dummy variable equal to one for those firms that operate out of a fixed site in a public marketplace, a factory, a variety/grocery store, or a retail service establishment.2" Changes in probabilities are reported in Table 5.A. As expected, firm size and age are positively (and significantly) related to work site permanence: older firms and those producing at larger volumes require more permanent work sites. The indicator for firms whose only main customers are individuals and families potentially is an inverse measure of fornality. The ideal measure would include only close friends and family of the proprietor. The survey's measure is more broad but may still provide evidence in favor of our framework, so long as the measure is most accurate for smaller firms. Smaller firms should market more exclusively to close acquaintances because larger volumes of production require firms to seek customers among the general public. The measure may be negatively related to firm age for the same reason The second row of Table 5 shows that, as predicted, firm size is negatively related to whether the firm sells primarily to only individuals and families. However, the relationship with firm age is positive. To investigate the source of that positive relationship, the bottom row of the table reports the same regression including industry dummies. The results show that the positive 21 Only those firms operating out of temporary work sites that might serve as launching pads for more permanent work sites, and those firms operating out of permanent work sites that could have transitioned from a less permranent work site, were included in the regression. Excluded firms included those operating out of unspecified non-permanent or permanent work sites. In addition, those whose business is the transportation of people or merchandise, and hotels/taverns/inns/hostels were not included in the regression. Specifications that, in turn, (a) included these firms, and (b) limited the definition more narrowly, yielded comparable results. 15 relationship disappears when industry dummies are included, indicating a spurious effect in the previous regression. However, the strong negative relationship with firm size persists, providing evidence in favor of our framework. Separate regressions by industry (not reported) yielded similar results. 4. Firm dynamics To fully test the dynamics of our framework would require longitudinal data. Though the ENAMIN is the most comprehensive data source available to date, it lacks this dimension. Nonetheless, the cross sectional evidence it does offer is consistent with our framework. First, though the data is truncated at a firm size of five employees (fifteen in manufacturing), long lived firms exist across the revenue distribution, reflecting the underlying distribution of 0. Remarkably, average firm age is roughly the same across all deciles of the revenue distribution, ranging from a low of 7.9 years for the seventh decile to a high of 9.0 years for the second decile; the first and last deciles have respective means of 8.8 and 8.7 years.22 Moreover, the relatively uniform revenue-age distribution is not an artifact of the upper limit on number of employees: average firm revenue in the last revenue decile is more than eighty times larger than the first revenue decile. This suggests that this population of firms may be in a steady state, with entry and exit rates roughly uniform across the revenue distribution.23 Second, the observed patterns of firm entry and exit are consistent with those predicted by our framework and with those observed in the U.S. and in other developing countries. Numerous studies have documented high entry and failure rates among startups that decline with size and age of the firm.24 Evans and Leighton's (1989) study of self-employment dynamics in 22 The difference in average firm age between the second and seventh deciles is statistically significant at a five percent level of confidence. The difference between the first and last deciles is not. 23 Note that "exit" could happen for two reasons. The upper size limit on number of employees means that firms would leave the sample frame either if they failed or if they added too many employees. Smaller firms undoubtedly are more likely to fail; whereas larger firms are more likely to grow their way out of the sample frame. 24 Mansfield (1962) shows that smaller firms have higher and more variable growth rates. Dunne, et al. (1989) demonstrate that U.S. manufacturing plant failure rates decline steadily with the age of the plant. Davis, et al. (1994) find that net job creation in small U.S. manufacturing firms is not high relative to large businesses, despite 16 the U.S. provides the most comparable benchmark for our analysis. They find that inflows into self-employment over the previous year account for about 20 percent of self-employment for men over 35, with an even greater proportion for younger men. This is consistent with a constant rate of entry and older men running more established firms that are less likely to fail. Evans and Leighton also document a sharply decreasing exit rate from self-employment for the U.S., with the probability of failure ranging from 15 percent for the oldest of the self-employed to over 50 percent for the youngest of the self-employed. The overall patterns of firm age by age of the owner for Mexico in Table 6 are comparable. The last two sets of columns in Table 6 show the fraction and number of firms at each age range that are no more than one year and two years old, respectively. Consistent with Evans and Leighton's estimates, the number of entries is relatively flat throughout the life cycle. Yet the fraction of the self employed comprised of new entrants declines steadily, commensurate with a sharp increase in average firm age. Together, these patterns suggest that declining exit rates are probably partially responsible for the sharp increase in average firm age in these data.25 These broad similarities in self-employment dynamics between Mexico and the U.S. suggest that common determinants of self-employment may be as important as differing institutional factors in explaining the observed patterns of participation. 5. Depth ofparticipation Our approach predicts that firms participate in an increasing number of institutions as they grow. Again, because the ENAMIN lacks a longitudinal dimension, we cannot directly test the time series implications. However, the cross sectional implications are supported by the data. inordinately high rates of gross job creation, because of their disproportionately high rates of job destruction. Roberts and Tybout (forthcoming) find that in Mexico, Colombia and Morocco business births and failures are even more frequent and numerous in those countries than in the U.S., accounting for much larger shares of total employrment adjustment. New plants are much smaller and less productive than the industry average and the failure rate is highest at young ages. 25 Evans and Leighton do not report average firm age by age of the owner, making direct comparison with the numbers in Table 6 difficult. However, if we assume that the exit probabilities in their data apply disproportionately to the very young firms within each age cohort, a likely phenomenon given the learning process, then average firm age must rise with age of the owner, as in Table 6. 17 The depth of participation -- as measured by degree of compliance -- is analyzed in Table 7. Twio measures are used: the fraction of the firm's paid workers registered with IMSS (for the subset of firms with any paid workers), and the fraction of all institutions in which the firm participates. Both variables are bounded below by zero and above by one, so the estimation used double-censored tobits.26 The second and third rows of the table report two different specifications for the fraction of all institutions in which the firm participates. The first encompasses all seven institutions in Table 4. The second excludes business guild registration and dues payment because not all firms may have access to such institutions; i.e. differences between firms in participation along this dimension may simply represent cross-industry differences in production technology or market structure. The patterns in Table 7 again are consistent with our prediction that the depth of participation is an increasing function of both firm size and age. Excluding business guild registration and dues payment in the third row makes these relationships stronger. The inclusion of industry dummies (not reported) leaves the results largely unchanged. IV. Relation to Previous Informal Sector Research The framework offered here departs from the premise that the small scale firms found in developing countries are fundamentally different from those in industrialized countries. Thus, it is solidly in the spirit of Hart (1972) and de Soto who stressed the intrinsic dynamism of the sector. In conceiving of formality as an input into the production function and that firms choose the optimal level along a continuum, we provide a theoretical underpinning both for Tokman's grey areas of partial compliance, and for de Soto's view that a lack of access to institutions is a binding constraint on firm growth. De Soto claimed that onerous compliance costs prevent firms from becoming formal. This concern was echoed by Porter (1995) who cited high and uncertain regulatory costs as barriers to firm growth in United States inner cities. Both of these perspectives are easily nested in our framework as a case where the government sets po so high that for most firms the 26 Ordinary least squares regressions yielded comparable results. 18 discounted net present value of participation never exceeds its costs. But our model also implies that it may never be possible to induce all finns to participate simply by streamlining compliance procedures: for many very small firms, the benefits of participation may not exceed even modest costs.2' By relaxing our stylized view of the well functioning "market" for formality, we can encompass both Rauch's and Loayza's views. Clearly, reality is more complex than our extreme assumption that firms get only the participation they pay for and pay for none they do not want. Many institutions of civic society are public goods and the government imposes universal fiscal levies, making tax evasion attractive. Moreover, an enforcement agency seeking to maximize social benefit could easily choose to focus its efforts on longstanding, large firms, leaving the door open for small, low productivity firms to avoid taxation and regulation. Rauch, in fact, defines the informal sector as those firms of a size below which the government chooses not to enforce minimum wages. Incorporating this into our perspective, a growing firm may willingly choose to comply with such size-based regulations in order to get unimpeded access to necessary institutions.28 The logic behind Esfahani and Salehi-Isfahani's model (1989) is also consistent with the view presented here. Larger firms use more complex production technologies as they grow, making worker monitoring more difficult. They thus voluntarily pay efficiency wages that, in practice, may include health care or other benefits, to reduce shirking. Again, more efficient firms would become increasingly formal as they grow. But formality of the firm is an independent consideration from the wages it pays its workers: a small, longstanding firm that does not pay efficiency wages likely would participate in formal institutions such as the legal and banking systems.29 Finally, there is nothing in the static nature of previous models that makes them 27 See Ozorio de Almeida, et aL. (1994) for a discussion of deregulating the informal sector. 28 In this example, the cost of complying with the minimum wage is part of po and pt. 29 Both Schaffner (1996) and Velenchik (1996) have documented a positive firm-size wage effect for Peru and Zirnbabwe. Such an effect is a critical component of Esfahani and Salehi-Isfahani's efficiency wage model. However, both of the former authors argue that such evidence is not supportive of that class of model. 19 inconsistent with the approach described here. For instance, both Rauch and Loayza require an exogenous change in government policy to induce transitions between the formal and informal sectors. But this arises purely because they were not concerned witi modeling firn dynamics. Within the context of our approach, such a policy change is equivalent to altering pa and/or p, which leads to comparable comparative static results as those described in both Rauch and Loayza. Conclusion Using a unique data set from Mexico, we have provided a more detailed characterization of the nature of informal production than previously possible. Beyond the empirical regularities, we also have offered a new approach to analyzing the informal sector. This approach assumes that informal firms in developing countries behave similarly to those in the industrialized countries, and is based on a model of firm dynamics frequently used in the industrial organization literature. It offers an alternative motivation for informality which, unlike much of the literature on tax evasion and regulatory compliance, asserts that participation in societal institutions may be essential to growth, and therefore at least partially voluntary. It also can nest many existing models that base existence of the informal sector solely on institutional distortions, market failures, or excessive government regulation. Though the data do not permit a definitive test of competing models, they are consistent with the predictions of our approach. This suggests that our framework is an important benchmark to be considered when analyzing the informal sector and regulatory compliance. References Ashenfelter, Orley and Robert S. Smith (1979), "Compliance with the Minimum Wage Law," Journal of Political Economy, 87:2, 333-350. Banerji, Arup and Sanjay Jain (1996), "Quality Dualism and the Informal Sector," mimeo. Besley, Timothy (1995), "Savings, Credit and Insurance," in J. Behrman and T.N. Srinivasan, eds., Handbook of Development Economics, Volume III, Amsterdam: Elsevier. 20 Cowell, Frank A. (1990), Cheating the Government, Cambridge, Massachusetts: MIT Press. Davis, Steven J., John Haltiwanger, and Scott Schuh (1994), "Small Business and Job Creation: Dissecting the Myth and Reassessing the Facts," in Lewis C. Solmon and Alec R. Levenson, eds., Labor Markets, Employment Policy, and Job Creation, Boulder, Colorado: Westview Press. Dunne, Timothy, Mark J. Roberts, and Larry Samuelson (1989), "The Growth and Failure of U.S. Manufacturing Plants," Quarterly Journal of Economics, 104:4, 671-698. The Economist (1996), "Not-so-wondrous pensions," December 14, p. 46. Esfahani, Hadi S. and Djavad Salehi-Isfahani (1989), "Effort Observability and Worker Productivity: Towards an Explanation of Economic Dualism," The Economic Journal, 99, 818- 836. Evans, David S. and Linda S. Leighton (1989), "Some Empirical Aspects of Entrepreneurship," American Economic Review, 79:3, 519-535. Fenn, P. and C. G. Veljanovski (1988), "A Positive Economic Theory of Regulatory Enforcement," The Economic Journal, 98, 1055-1070. Fishback, Price V. and Shawn Everett Kantor (1996), "The Adoption of Workers' Compensation in the UJnited States, 1900-1930," National Bureau of Economic Research Working Paper 5840. Gruber, Jonathan (1994), "The Incidence of Mandated Maternity Benefits," American Economic Review., 84:3, 622-641. Harris, John R. and Michael P. Todaro (1970), "Migration, Unemployment, and Development: A Two-Sector Analysis," American Economic Review, 60:1, 126-142. Hart, Kieth (1 972), Employment, Income and Inequality: A Strategy for Increasing Productive Employment in Kenya, Geneva: ILO. Jovanovic, Boyan (1982), "Selection and Evolution of Industry," Econometrica, 649-670. Lewis, W.A. (1954), "Economic Development with Unlimited Supplies of Labour," Manchester School of Economics and Social Studies, 20, 139-191. Lin, Justin Yifu and Jeffrey B. Nugent, "Institutions and Economic Development," in J. Behrnan and T.N. Srinivasan, eds., Handbook of Development Economics, Volume III, Amsterdam: Elsevier. Lippmtn, S.A. and R.P. Rumelt (1992), "Uncertain Imitability: An Analysis of Interfirm 21 Differences in Efficiency under Competition," Bell Journal of Economics, 13:2, 418-438. Loayza, Norman V. (1995), "The Economics of the Informal Sector: A Simple Model and Some Empirical Evidence from Latin America," mimeo. Lucas, Robert E., Jr. (1978), "On the Size Distribution of Business Firms," Bell Journal of Economics, 9:2, 508-23. Ozorio de Almeida, A.L. and S.E.M Graham and L.F. Alves (1994). "Poverty, Deregulation and Informal Employment in Mexico," ESP Working Paper, World Bank. Palay, Thomas M. (1984), "Comparative Institutional Economics: The Governance of Rail Freight Contracting," Journal of Legal Studies, 13, 265-287. Palay, Thomas M. (1985), "Avoiding Regulatory Constraints: Contracting Safeguards and the Role of Informal Agreements," Journal ofLaw, Economics, and Organization, 1, 155-175. Peattie, Lisa (1987), "An Idea in Good Currency and How It Grew: The Informal Sector," World Development, 15:7 851-860. Porter, Michael E. (1995), "The Competitive Advantage of the Inner City," Harvard Business Review, 73:3, 55-71. Portes, Alejandro (1994), "The Informal Economy and Its Paradoxes," in Neil J. Smelser and Richard Swedberg, eds., The Handbook of Economic Sociology, Princeton, N.J.: Princeton University Press. Rauch, James E. (1991), "Modeling the Informal Sector Formally," Journal of Development Economics, 35:1, 33-47. Roberts, Mark J. and James R. Tybout (forthcoming), Industrial Evolution in Developing Countries: Micro Patterns of Turnover, Productivity and Market Structure, New York: Oxford University Press. Schaffner, Julie Anderson (1996), "Premiums to Employment in Larger Establishments: Evidence from Peru," mimeo, forthcoming Journal of Development Economics. de Soto, Hemando (1989), The Other Path: The Invisible Revolution in the Third World, New York: Harper and Row. Thomas, J.J. (1992), Informal Economic Activity, Ann Arbor, University of Michigan Press. Tokman, Victor E. (1992), "The Informal Sector in Latin America: From Underground to Legality," 22 in Victor E. Tokman, ed., Beyond Regulation: The Informal Economy in Latin America, Boulder, Coloracdo: Lynne Rienner Publishers. Velenchik, Ann D. (1996), "Government Intervention, Efficiency Wages, and the Employer Size Wage Effect in Zimbabwe," mimeo, forthcoming Journal of Development Economics. 23 Revenue Firm type #1 Firm type #2 K~~~~~~~ - i____ X_ Firm type #3 Time in Business Figure 1 24 Revenue F # With participation Without participation I / / Firm type #2 | !/ _ With participation Without participation == - Firmtype#3 T, T2 Time in Business Figure 2 25 Table 1: Summary statistics Variable Mean S.D. Min Max N Total Revenue 3668 8145 2 200000 8873 Log(total revenue) 7.42 1.19 .693 12.2 8873 Net Income 1260 3138 -78498 126300 8807 Years in Business 8.58 9.37 .167 51 9033 Numrber of paid workers .384 1.08 0.00 15 9036 Any paid workers .193 .395 0.00 1 9036 Number of unpaid workers .232 .601 0.00 5 9036 Any unpaid workers .164 .370 0.00 1 9036 Registered with federal treasury .417 .493 0.00 1 9036 Registered with local treasury .252 .434 0.00 1 9036 Amount of taxes paid 78.5 552 0.00 30000 8401 Paid any taxes .346 .476 0.00 1 9036 Any paid workers registered with IMSS .346 .476 0.00 1 1748 Number of paid workers registered with IMSS .318 .451 0.00 1 1748 Business registered with guild or association .225 .418 0.00 1 9036 Amount of business organization dues paid 7.04 43.8 0.00 1500 9019 Any business organization dues paid .156 .363 0.00 1 9036 Enumerated in the 1989 Census .331 .471 0.00 1 5220 Fraction of all institutions .279 .301 0.00 1 9036 Fraction of all institutions (excluding guild, dues) .325 .371 0.00 1 9036 Types of work site: Transportation: people or merchandise .064 .245 0.00 1 9036 Makeshift stand in a public road .041 .199 0.00 1 9036 Fixed stand in a public road .017 .130 0.00 1 9036 Makeshift stand inside a marketplace .023 .149 0.00 1 9036 Fixed stand forming part of a marketplace .019 .138 0.00 1 9036 Door-to-door or street vendor .045 .207 0.00 1 9036 Services offered via vehicle or cart .034 .181 0.00 1 9036 Own home: without specialized equipment .123 .328 0.00 1 9036 Own home: with specialized equipment .051 .220 0.00 1 9036 Other non-permanent work site .008 .088 0.00 1 9036 Fixed work site in a public marketplace .032 .176 0.00 1 9036 Hotel, tavern, inn or hostel .0006 .024 0.00 1 9036 Factory: production or repair services .095 .293 0.00 1 9036 Variety or grocery store .075 .263 0.00 1 9036 Retail service establishment .131 .338 0.00 1 9036 Other permanent work site .008 .091 0.00 1 9036 Home of customer or client .233 .423 0.00 1 9036 Permanent work site .485 .500 0.00 1 6194 Family/friends only main customers .384 .486 0.00 1 9036 26 Table 2: The Varying Degrees of Formality Incidence of Registration with Federal Treasury and Payment of Taxes by Various Firm Characteristics I Firms registered r Firns registered All firms with local treasury with business guild or organization #firrns % firms % regis % % % % pay in this in this with fed pay % fed pay % % fed % pay guild/ group group treasury taxes firms firms treas taxes firms firms treas taxes org dues 1. All firms 9036 100.0 41.7 34.6 2273 100.0 78.8 74.0 2035 100.0 67.7 54.0 61.4 2. Paid workers>0 1748 100.0 73.1 61.3 690 100.0 91.6 79.6 573 100.0 88.0 72.1 57.4 2.A. and IMSS=0 1144 65.4 61.5 50.9 396 57.4 87.1 74.7 282 49.2 97.9 82.5 58.8 2.B. and IMSS>0 604 34.6 95.0 81.1 294 42.6 97.6 86.1 291 50.8 77.7 61.3 56.0 3. Inbusiness>3 years 5220 100.0 42.8 37.1 1365 100.0 79.1 76.3 1284 100.0 68.8 56.9 62.6 3.A. not in 1989 Census 3493 66.9 20.1 18.5 482 35.3 55.6 63.3 637 49.6 46.3 37.4 64.2 3.B. and in 1989 Census 1727 33.1 88.8 74.8 883 64.7 92.0 83.4 647 50.4 91.0 76.0 61.1 4. Pd wkrs>0, >3 years 1096 100.0 72.9 63.8 440 100.0 92.7 82.7 378 100.0 89.2 75.1 58.7 4.A. IMSS no, Census no 348 31.8 31.0 28.4 68 15.5 77.9 75.0 62 16.4 61.3 48.4 62.9 4.B. IMSS yes, Census no 79 7.20 86.1 74.7 26 5.91 100 80.8 34 8.99 97.1 73.5 50.0 4.C. IMSS no, Census yes 337 30.7 88.4 77.2 168 38.2 92.9 81.0 110 29.1 88.2 76.4 54.5 4.D. IMSS yes, Census yes 332 30.3 97.9 84.6 178 40.5 97.2 87.6 172 45.5 98.3 84.3 61.6 Only those firms in business for more than three years could have been enumerated in the 1989 Census of businesses. IMSS refers to registration of the firm's paid workers with the Mexican Social Security administration. Only paid workers have to be registered with IMSS. 27 Table 3: Summary Statistics The Relationship between Formality and Firm Size and Age Registered with Any workers registered Enumerated in federal treasury with IMSS 1989 Census Revenue decile Mean Obs Mean Obs Mean Obs 1st decile .080 889 0 6 .087 472 2nddecile .125 910 0 11 .109 512 3rd decile .184 917 0 19 .136 523 4th decile .257 1197 .024 84 .196 730 5th decile .401 558 .075 67 .299 341 6th decile .444 1024 .102 167 .317 590 7th decile .581 816 .219 206 .444 441 8th decile .600 788 .279 219 .442 443 9th decile .710 909 .331 381 .547 537 10th decile .855 865 .606 538 .751 535 Registered with Any workers registered Enumerated in federal treasury with IMSS 1989 Census Years in business Mean Obs Mean Obs Mean Obs less than one year .323 876 .237 131 0 0 1 year .374 838 .221 131 0 0 2 years .416 1094 .343 181 0 0 3 years .455 857 .345 171 0 0 4 years .463 559 .391 110 .309 537 5 years .432 562 .336 125 .309 538 6to7years .411 672 .397 156 .316 648 8 to 9 years .401 504 .290 100 .287 492 10 to 12 years .441 975 .415 193 .312 952 13 to 15 years .416 551 .418 122 .353 541 16 to 19 years .467 304 .333 69 .391 297 20 to 29 years .438 765 .321 159 .359 744 30 years or more .435 476 .414 99 .376 468 28 Table 4. Participation in societal institutions Dependent variable Log revenue Years in business Pseudo R2 # obs Registered with federal treasury .661 .006 0.200 8870 (37.7) (3.95) Registered with local treasury .371 .006 0.083 8870 (26.9) (3.57) Pays any taxes .556 .008 0.158 8870 (35.6) (5.35) Any paid workers registered with .634 .010 0.161 1697 IMSS (17.2) (2.95) Enumerated in 1989 census .538 .013 0.154 5121 (26.5) (6.26) Registered with business .383 .006 0.090 8870 guild/organization (26.8) (3.87) Pays any dues .312 .007 0.066 8870 (21.6) (4.02) Probit regressions. Absolute values of z statistics in parentheses. The standard errors have been corrected for arbitrary forms of heteroskedasticity. Table 4.A. Participation in societal institutions (difference in probabilities from a one unit change in the regressor) Dependent variable Log revenue Years in business Registered with federal treasury .254 .002 Registered with local treasury .113 .002 Pays any taxes .199 .003 Any paid workers registered with .226 .004 IMSS Enumerated in 1989 census .188 .004 Registered with business .108 .002 guild/organization Pays any dues .070 .002 29 Table 5. Other measures of formality Dependent variable Log revenue Years in business Pseudo R2 # obs Permanence of work site .538 .009 0.162 6066 (31.3) (4.97) Families/individuals only main -.277 .007 0.048 8870 clients (22.9) (4.63) Families/individuals only main -.208 -.001 0.176 8868 clients (adding industry (15.1) (0.63) dummies) Probit regressions. Absolute values of z statistics in parentheses. The standard errors have been corrected for arbitrary forms of heteroskedasticity. Table 5.A. Other measures of formality (difference in probabilities from a one unit change in the regressor) Dependent variable Log revenue Years in business Permanence of work site .214 .004 Families/individuals only main -.105 .003 clients Families/individuals only main -.078 -.0004 clients (adding industry dummies) 30 Table 6: Distribution of Firm Age by Age of the Owner Years in Years in Business: Years in Business: Business One year or less Two years or less Age of Owner Mean Mean Frequency Mean Frequency 19 or,younger 2.61 .524 99 .693 131 20 to 24 2.86 .366 191 .573 299 25 to 29 3.96 .277 253 .462 421 30 to '34 4.96 .233 268 .380 437 35 to .39 6.41 .193 250 .325 420 40 to 44 7.90 .168 196 .283 329 45 to 49 9.53 .138 138 .251 251 50to'54 11.5 .128 117 .191 174 55 to 159 12.8 .116 75 .199 129 60 to 69 15.8 .107 91 .180 153 70 or older 17.8 .086 33 .153 59 Table 7. Depth of participation in societal institutions Depexndent variable Log revenue Years in business Pseudo R2 # obs Fraction of paid workers 2.84 .051 0.115 1697 registered with IMSS (9.15) (2.86) Fraction of all institutions in .245 .004 0.211 8870 which the firm participates (52.2) (7.17) Fraction of all institutions, .386 .005 0.145 8870 exclucding business guild (44.6) (5.53) registration and dues Tobit regressions. Absolute values of t statistics in parentheses. 31 Policy Research Working Paper Series Contact Title Author Date for paper WPS 96515 Manufacturing Firms in Developing James Tybout August 1998 L. Tabada Countries: How Well Do They Do, 36869 and Why WPS1966 Sulfur Dioxide Control by Electric Curtis Carlson August 1998 T. Tourougui Utilities: What Are the Gains from Dallas Burtraw 87431 Trade? Maureen Cropper Karen L. Palmer WPS1967 7.gricuiture and the Macroeconomy Maurice Schiff August 1998 A. 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